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Finding the Fourth Proportional to 17,595.81, 24,282 and 9,637.56

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Solution

The fourth proportional to 17,595.81, 24,282 and 9,637.56 is: 13,299.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,595.81 : 24,282 = 9,637.56 : x
  2. Step 2: Convert to fraction form
    17,595.81/24,282 = 9,637.56/x
  3. Step 3: Cross multiply
    17,595.81x = 24,282 × 9,637.56
  4. Step 4: Simplify right side
    17,595.81x = 234,019,231.92
  5. Step 5: Solve for x
    x = 234,019,231.92/17,595.81
  6. Step 6: Final answer
    x = 13,299.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.